List questions from differential-topology

Published on 09 Apr 2026 - 10:07

72

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$G \supset J$, when would its universal cover $\widetilde{G}$ also shows $\widetilde{G} \supset J$?

Published on 15 Apr 2026 - 21:21

70

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Is there one to one correspondence between $C^k$ structure and $C^\infty$ structure on the topological manifold?

Published on 13 Apr 2026 - 10:44

63

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Question on the proof of de Rham's theorem

Published on 09 Apr 2026 - 10:52

56

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$Spin(n) \subset SO(n+m)$ for appropriate positive integer $n,m$?

Published on 16 Apr 2026 - 18:08

76

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Considering maps $S^3\rightarrow S^2$ using fiber bundle projection

Published on 14 Apr 2026 - 21:50

149

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Definition of Jet bundle

Published on 11 Apr 2026 - 22:07

160

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conformal compactification $\overline G$

Published on 18 Apr 2026 - 8:21

36

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$Spin(2n) \subseteq SU(2^{n-1})$ for $n \geq 5$?

Published on 16 May 2026 - 7:09

43

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$Spin(2n+1) \subseteq SU(2^{n})$ for $n \geq 1$?

Published on 16 May 2026 - 8:24

42

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$\frac{Spin(2n-1)\times Spin(2n+1)}{{\mathbf{Z}/2}}\subset SO(4n)?$

Published on 16 May 2026 - 8:23

46

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Push forward is smooth for jet bundle

Published on 12 Apr 2026 - 12:36

67

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Local chart for Jet bundle

Published on 16 Apr 2026 - 5:04

289

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How many differentiable structures on a lie group?

Published on 11 Apr 2026 - 23:02

205

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Show that if transition maps $f$ and $g$ from $U\cap V$ to $Gl(k,\mathbb{R})$ are homotopic, then they glue isomorphic vector bundles.

Published on 15 Apr 2026 - 17:00

List Question

Understanding Proof of Darboux-Weinstein theorem

$G \supset J$, when would its universal cover $\widetilde{G}$ also shows $\widetilde{G} \supset J$?

Is there one to one correspondence between $C^k$ structure and $C^\infty$ structure on the topological manifold?

Question on the proof of de Rham's theorem

$Spin(n) \subset SO(n+m)$ for appropriate positive integer $n,m$?

Considering maps $S^3\rightarrow S^2$ using fiber bundle projection

Definition of Jet bundle

conformal compactification $\overline G$

$Spin(2n) \subseteq SU(2^{n-1})$ for $n \geq 5$?

$Spin(2n+1) \subseteq SU(2^{n})$ for $n \geq 1$?

$\frac{Spin(2n-1)\times Spin(2n+1)}{{\mathbf{Z}/2}}\subset SO(4n)?$

Push forward is smooth for jet bundle

Local chart for Jet bundle

How many differentiable structures on a lie group?

Show that if transition maps $f$ and $g$ from $U\cap V$ to $Gl(k,\mathbb{R})$ are homotopic, then they glue isomorphic vector bundles.

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